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Blababa [14]
3 years ago
12

Compare the solutions of an equation and an inequality. What are the differences and the similarities? Please help!

Mathematics
1 answer:
Bingel [31]3 years ago
3 0
Equations have one answer while inequalities have more than one answer. They both have false answers.
You might be interested in
Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe
Lerok [7]
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
5 0
3 years ago
Plsss help I don’t have time!!!!!
Elis [28]

Answer:

D) y=5x+20

Step-by-step explanation:

8 0
3 years ago
Using the rules for special cases, what is the result of?
Arlecino [84]

Answer:

C) 4x^2 -8x +4[/tex]

Step-by-step explanation:

(-2x+2)^2

we apply (a+b)^2 formula

(a+b)^2 = a^2 + 2ab +b^2

a= -2x  and b= 2

Replace 'a' with -2x  and 'b' with 2

(-2x+2)^2 = (-2x)^2 + 2(-2x)(2) +2^2

(-2x)^2 is 4x^2

(-2x+2)^2 = 4x^2 -8x +4

option C is the answer



8 0
3 years ago
Read 2 more answers
A triangular bookend has a base of 4 inches and a height of 8 inches. Find the area of the bookend.
nekit [7.7K]
(8*4)/2= 16 sq inches
8 0
3 years ago
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